Cyclic large sets of Steiner triple systems of order 15-Reference-Cited by-同舟云学术

Cyclic large sets of Steiner triple systems of order 15

Published:1990 Issue:192 Volume:55 Page:821-824
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Phelps Kevin T.

Abstract

We examine a class of large sets of Steiner triple systems of order 15 having an automorphism consisting of two fixed points and a 13-cycle. We exhibit all members of this class: there are 256 nonisomorphic systems. We examined these members for initial configurations which could lead to a large set of Steiner quadruple systems of order 16 and established that no large set exists having three fixed points and a 13-cycle.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1990-55-192/S0025-5718-1990-1035942-1/S0025-5718-1990-1035942-1.pdf

Reference16 articles.

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